101322312133300 has 144 divisors (see below), whose sum is σ = 223371527682240. Its totient is φ = 39888631664640.

The previous prime is 101322312133253. The next prime is 101322312133303. The reversal of 101322312133300 is 3331213223101.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322312133303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1288343779 + ... + 1288422421.

It is an arithmetic number, because the mean of its divisors is an integer number (1551191164460).

Almost surely, 2^{101322312133300} is an apocalyptic number.

101322312133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101322312133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111685763841120).

101322312133300 is an abundant number, since it is smaller than the sum of its proper divisors (122049215548940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101322312133300 is a wasteful number, since it uses less digits than its factorization.

101322312133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79490 (or 79483 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 101322312133300 its reverse (3331213223101), we get a palindrome (104653525356401).

The spelling of 101322312133300 in words is "one hundred one trillion, three hundred twenty-two billion, three hundred twelve million, one hundred thirty-three thousand, three hundred".